ENGLISH

A first course in dynamics

By Hasselblatt B. , Katok A.

Book information

Publisher
CUP
Year
2003
ISBN
0521583047, 9780521583046
Open Library ID
OL15513309M
Language
english
Format
PDF
Filesize
7 MB (7334424 bytes)
Pages
435\435
Library
kolxoz
Time added
2011-07-22 07:35:22

Description

The theory of dynamical systems has given rise to the vast new area variously called applied dynamics, nonlinear science, or chaos theory. This introductory text covers the central topological and probabilistic notions in dynamics ranging from Newtonian mechanics to coding theory. The only prerequisite is a basic undergraduate analysis course. The authors use a progression of examples to present the concepts and tools for describing asymptotic behavior in dynamical systems, gradually increasing the level of complexity. Subjects include contractions, logistic maps, equidistribution, symbolic dynamics, mechanics, hyperbolic dynamics, strange attractors, twist maps, and KAM-theory.

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